The generator matrix

 1  1  1  1  1  1  1  1  X  X  1  1  1  1  1  1
 0  X  0  0 X^2 X^2+X X^2+X X^2+X X^2  0  0  0  X X^2+X X^2+X X^2
 0  0  X  0 X^2+X X^2+X  X  0 X^2 X^2  0 X^2+X  0 X^2+X X^2  0
 0  0  0  X  X X^2  X X^2+X X^2+X  X X^2 X^2+X X^2+X X^2+X X^2+X  0

generates a code of length 16 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+15x^12+32x^13+76x^14+32x^15+209x^16+32x^17+64x^18+32x^19+12x^20+4x^22+2x^24+1x^28

The gray image is a linear code over GF(2) with n=64, k=9 and d=24.
This code was found by Heurico 1.16 in 0.00392 seconds.